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Fair criteria for social decisions under uncertainty

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  • Miyagishima, Kaname

Abstract

In a simple model where agents have ordinal and interpersonally noncomparable subjective expected utility preferences over uncertain future incomes, we analyze the implications of equity, efficiency, separability, and social rationality. Our efficiency conditions are fairly weak, because there are criticisms on the standard ex ante Pareto principle in the literature.Our social welfare criteria from the axioms satisfy ex ante equity, but violate Statewise Dominance, often referred to as ”the minimal criterion” of rationality under uncertainty.

Suggested Citation

  • Miyagishima, Kaname, 2019. "Fair criteria for social decisions under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 77-87.
  • Handle: RePEc:eee:mateco:v:80:y:2019:i:c:p:77-87
    DOI: 10.1016/j.jmateco.2018.10.005
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    References listed on IDEAS

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    1. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587.
    2. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    3. Hill , Brian & Danan , Eric, 2014. "Aggregating Tastes, Beliefs, and Attitudes Under Uncertainty," HEC Research Papers Series 1057, HEC Paris.
    4. Zuber, Stéphane, 2016. "Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 78-83.
    5. Sakamoto, Norihito, 2018. "Equity Criteria Based on the Dominance Principle and Individual Preferences: Refinements of the Consensus Approach," RCNE Discussion Paper Series 5, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    6. Xiangyu Qu, 2017. "Separate aggregation of beliefs and values under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 503-519, February.
    7. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    8. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    9. Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "No‐Betting‐Pareto Dominance," Econometrica, Econometric Society, vol. 82(4), pages 1405-1442, July.
    10. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521887427, January.
    11. Thibault Gajdos & Jean-Marc Tallon, 2002. "Fairness under Uncertainty," Economics Bulletin, AccessEcon, vol. 4(18), pages 1-7.
    12. Sprumont, Yves, 2012. "Resource egalitarianism with a dash of efficiency," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1602-1613.
    13. Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
    14. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    15. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    16. Chambers, Christopher P. & Echenique, Federico, 2012. "When does aggregation reduce risk aversion?," Games and Economic Behavior, Elsevier, vol. 76(2), pages 582-595.
    17. Mongin, Philippe & Pivato, Marcus, 2015. "Ranking multidimensional alternatives and uncertain prospects," Journal of Economic Theory, Elsevier, vol. 157(C), pages 146-171.
    18. Gabrielle Gayer & Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "Pareto Efficiency with Different Beliefs," The Journal of Legal Studies, University of Chicago Press, vol. 43(S2), pages 151-171.
    19. Epstein, Larry G & Segal, Uzi, 1992. "Quadratic Social Welfare Functions," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 691-712, August.
    20. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75, pages 765-765.
    21. Marcus Fleming, 1952. "A Cardinal Concept of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(3), pages 366-384.
    22. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    23. Bosmans, Kristof & Decancq, Koen & Ooghe, Erwin, 2018. "Who's afraid of aggregating money metrics?," Theoretical Economics, Econometric Society, vol. 13(2), May.
    24. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    25. Mongin, Philippe, 2016. "Spurious Unanimity And The Pareto Principle," Economics and Philosophy, Cambridge University Press, vol. 32(3), pages 511-532, November.
    26. Marc Fleurbaey & Alain Trannoy, 2003. "The impossibility of a Paretian egalitarian," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 243-263, October.
    27. Hammond, Peter J, 1981. "Ex-ante and Ex-post Welfare Optimality under Uncertainty," Economica, London School of Economics and Political Science, vol. 48(191), pages 235-250, August.
    28. Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
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    Cited by:

    1. Kaname Miyagishima, 2022. "Efficiency, equity, and social rationality under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 237-255, February.
    2. Sakamoto, Norihito, 2018. "Equity Criteria Based on the Dominance Principle and Individual Preferences: Refinements of the Consensus Approach," RCNE Discussion Paper Series 5, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.

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